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Finding the Fourth Proportional to 7,497, 11,246.04 and 2,880

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Solution

The fourth proportional to 7,497, 11,246.04 and 2,880 is: 4,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497 : 11,246.04 = 2,880 : x
  2. Step 2: Convert to fraction form
    7,497/11,246.04 = 2,880/x
  3. Step 3: Cross multiply
    7,497x = 11,246.04 × 2,880
  4. Step 4: Simplify right side
    7,497x = 32,388,595.20
  5. Step 5: Solve for x
    x = 32,388,595.20/7,497
  6. Step 6: Final answer
    x = 4,320.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.